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A distribution reported on a number basis differs from one on a volume basis because

  • A.a number basis can only be used for perfectly spherical particles
  • B.a volume basis ignores all particles below one micrometre entirely
  • C.a few large particles dominate the volume but not the count
  • D.the two are simply different units expressing the same figure

Answer: C

Correct answer: a few large particles dominate the volume but not the count

Volume goes with the cube of the diameter, so one 10 micrometre particle occupies the volume of a thousand 1 micrometre ones. A powder that is overwhelmingly fine by number can therefore be overwhelmingly coarse by volume, and the same measurement reported on the two bases gives means that differ severalfold. Which basis is right depends on the question: contamination counting wants number, and packing or sintering wants volume.

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